Meshfree methods for partial differential equations VII
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Meshfree methods, particle methods, and generalized finite element methods have℗ℓwitnessed℗ℓsubstantial development since the mid 1990s. The growing interest in these methods is℗ℓdue℗ℓin part to the fact that they are extremely℗ℓflexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, m…
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- Full title :Meshfree methods for partial differential equations VII / Michael Griebel, Marc Alexander Schweitzer, editors.
Summary
Meshfree methods, particle methods, and generalized finite element methods have℗ℓwitnessed℗ℓsubstantial development since the mid 1990s. The growing interest in these methods is℗ℓdue℗ℓin part to the fact that they are extremely℗ℓflexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods℗ℓoffer a number of℗ℓadvantageous features which are especially attractive when dealing with multiscale phenomena:℗ℓa priori℗ℓknowledge about particular local behavior of the solution can℗ℓeasily be℗ℓintroduced in the meshfree approximation space, and℗ℓcoarse-scale approximations can be seamlessly refined with fine-scale information. This volume collects selected papers presented at the Seventh International Workshop on Meshfree Methods,℗ℓheld in Bonn, Germany in September 2013. They address various aspects of this℗ℓhighly dynamic℗ℓresearch field and cover topics from applied mathematics, physics and engineering.
Read More ↓Edition Statements
- Publication Date:2015
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham
- Language:eng
- Publication Date:2015
The Physical Object
- Description:viii, 315 pages : : illustrations (black and white, and colour) ; : 25 cm.
Edition Identifiers
- ISBN:9783319068978, 3319068970
- oclc:on1063536935
- LC Classification:QA71-90
- Dewey Decimal:515.353
Table of Contents
F. Franzelin, P. Diehl, D. Pfl©ơger: Spatially adaptive sparse grid collocation for multivariate peridynamic simulations -- G. anzenm©ơller, S. Hiermaier, M. May: Improvements to the Prototype Micro-Brittle Linear Elasticity Model of Peridynamics -- C. Gaspar: Regularization and Multi-Level Tools in the Method of Fundamental Solution -- S. Bond, R. Lehoucq, S. Rowe: A Galerkin Radial Basis Function Method for Nonlocal Diffusion -- P. Henning, P. Morgenstern, D. Peterseim: Multiscale Partition of Unity Method -- D. Zhou, B. Seibold, D. Shirokoff, P. Chidyagwai, R.R. Rosales: Meshfree Finite Differences for Vector Poisson and Pressure Poisson Equations with Electric Boundary Conditions -- C.T Wu: An Immersed Meshfree Galerkin Approach for Particle-Reinforced Composite Analysis -- A. Jefferies, J. Kuhnert, L. Aschenbrenner, U. Giffhorn: Finite Pointset Method for the Simulation of a Vehicle travelling through a Body of Water -- S.C. Brenner, C.B. Davis, L. Sung: A partition of unity method for the obstacle problem of simply supported Kirchhoff plates -- Q. Du, X. Tian: Robust Discretization of Nonlocal Models Related to Peridynamics -- Z. Dai, M.A. Bessa, S. Li, W.K. Liu: Particle Me…
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